Blar i Fakultet for informasjonsteknologi og elektroteknikk (IE) på tidsskrift "Mathematische Annalen"
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Dynamics of transcendental Henon maps
(Journal article; Peer reviewed, 2019)The dynamics of transcendental functions in the complex plane has received a significant amount of attention. In particular much is known about the description of Fatou components. Besides the types of periodic Fatou ... -
Dynamics of transcendental Hénon maps-II
(Peer reviewed; Journal article, 2022)Transcendental Hénon maps are the natural extensions of the well investigated complex polynomial Hénon maps to the much larger class of holomorphic automorphisms. We prove here that transcendental Hénon maps always have ... -
Estimate of the squeezing function for a class of bounded domains
(Journal article; Peer reviewed, 2018)We construct a class of bounded domains, on which the squeezing function is not uniformly bounded from below near a smooth and pseudoconvex boundary point. -
Extreme values of the Riemann zeta function and its argument
(Journal article; Peer reviewed, 2018)We combine our version of the resonance method with certain convolution formulas for ζ(s) and logζ(s) . This leads to a new Ω result for |ζ(1/2+it)| : The maximum of |ζ(1/2+it)| on the interval 1≤t≤T is at ... -
A note on Bohr’s theorem for Beurling integer systems
(Journal article; Peer reviewed, 2023)Given a sequence of frequencies , a corresponding generalized Dirichlet series is of the form . We are interested in multiplicatively generated systems, where each number arises as a finite product of some given ... -
The quasi-static plasmonic problem for polyhedra
(Peer reviewed; Journal article, 2022)We characterize the essential spectrum of the plasmonic problem for polyhedra in R3. The description is particularly simple for convex polyhedra and permittivities ϵ<−1. The plasmonic problem is interpreted as a spectral ... -
Strong localization of invariant metrics
(Peer reviewed; Journal article, 2021)A quantitative version of strong localization of the Kobayashi, Azukawa and Sibony metrics, as well as of the squeezing function, near a plurisubharmonic peak boundary point of a domain in Cn is given. As an application, ...